Seoul Journal of Economics - Vol. 16 , No. 1

[ Article ]
Seoul Journal of Economics - Vol. 16, No. 1, pp. 71-80
Abbreviation: SJE
ISSN: 1225-0279 (Print)
Print publication date 28 Feb 2003
Received 22 Nov 2003 Revised 20 Feb 2004

Measuring the Length of Period for the Long-Run Equilibrium in a Cointegration Relation
Jae-Young Kim
Associate Professor, School of Economics, Seoul National University, San 56-1 Shilim-dong Kwanak-gu, Seoul 151-742, Korea, Tel: +82-2-880-6390 (jykim017@snu.ac.kr)

Funding Information ▼

JEL Classification: C1, C22, C5


In economics the period of “long-run” often signifies the length of time within which transient fluctuations disappear, and a system comes back to an equilibrium state (or path). Among some interesting cases of long run analysis, the concept of cointegration is a relatively new concept of the long run equilibrium. This paper discusses how to determine the length of the long-run period for a cointegration relation. In an application to a consumption-income relation for three countries, U.S., Germany and Japan, we found that the length of the long-run period for the relation for these countries is about two to three years.

Keywords: Long run equilibrium, Cointegration, Consumption-income relation


The author thanks the editor and anonymous referees for valuable comments. Financial supports from Seoul National University Foundation and a BK21 Program of Korea Research Foundation are greatly appreciated. Thanks also go to Joo-Hee Oh for assistance in editing the final draft of the paper in a word file.

1. Davidson, James E. H., Hendry, David F., Srba, Frank, and Yeo, Stephen. “Econometric Modelling of the Aggregate Time-Series Relationship between Consumer's Expenditure and Income in the United Kingdom.” The Economic Journal 88 (No. 352 1978): 661-92.
2. Engle, Robert F., and Granger, C. W. J. “Cointegration and Error Correction: Representation, Estimation, and Testing.” Econometrica 55 (No. 2 1987): 251-76.
3. Hamilton, J. Time Series Analysis. Princeton, NJ: Princeton U. Press, 1994.
4. Phillips, P. C. B., and Ouliaris, “Asymptotic Properties of Residual Based Tests for Cointegration.” Econometrica 58 (No. 1 1990): 165-93.
5. White, H. Asymptotics Theory for Econometricians. Academic Press, 1984.